An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of pro- duction volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4000 450 550 5000 5400 5900 6400 7000 600 700 750

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An important application of regression analysis in accounting is in the estimation of cost.
By collecting data on volume and cost and using the least squares method to develop an
estimated regression equation relating volume and cost, an accountant can estimate the cost
associated with a particular manufacturing volume. Consider the following sample of pro-
duction volumes and total cost data for a manufacturing operation.
Production Volume (units)
Total Cost ($)
400
4000
5000
5400
5900
6400
7000
450
550
600
700
750
a. Use these data to develop an estimated regression equation that could be used to
predict the total cost for a given production volume.
b. What is the variable cost per unit produced?
c. Compute the coefficient of determination. What percentage of the variation in total
cost can be explained by production volume?
d. The company's production schedule shows 500 units must be produced next month.
What is the estimated total cost for this oneration?
Transcribed Image Text:An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of pro- duction volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 4000 5000 5400 5900 6400 7000 450 550 600 700 750 a. Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. b. What is the variable cost per unit produced? c. Compute the coefficient of determination. What percentage of the variation in total cost can be explained by production volume? d. The company's production schedule shows 500 units must be produced next month. What is the estimated total cost for this oneration?
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